Question 158213
{{{(1/4)(7+3x)=-(1/8)x}}} Start with the given equation.



{{{8((1/cross(4))(7+3x))=8(-(1/cross(8))x)}}} Multiply both sides by the LCD {{{8}}} to clear any fractions.



{{{2(7+3x)=-x}}} Multiply.



{{{14+6x=-x}}} Distribute.



{{{6x=-x-14}}} Subtract {{{14}}} from both sides.



{{{6x+x=-14}}} Add {{{x}}} to both sides.



{{{7x=-14}}} Combine like terms on the left side.



{{{x=(-14)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



{{{x=-2}}} Reduce.



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Answer:


So the answer is {{{x=-2}}}